On the Matrix Mittag–Leffler Function: Theoretical Properties and Numerical Computation

Mathematics

Marina Popolizio¹ 

[1] Department of Electrical and Information Engineering, Polytechnic University of Bari, Via E. Orabona n.4, 70125 Bari, Italy;

关键词: mittag–leffler function;    matrix function;    schur decomposition;    laplace transform;    fractional calculus;   

DOI  :  10.3390/math7121140

来源: DOAJ

【 摘 要 】

Many situations, as for example within the context of Fractional Calculus theory, require computing the Mittag−Leffler (ML) function with matrix arguments. In this paper, we collect theoretical properties of the matrix ML function. Moreover, we describe the available numerical methods aimed at this purpose by stressing advantages and weaknesses.

【 授权许可】

Unknown